%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWB016+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 04:05:13 PM UTC 2025
% Result : Theorem 202.31s 25.69s
% Output : CNFRefutation 202.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 20 unt; 0 def)
% Number of atoms : 124 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 121 ( 52 ~; 53 |; 7 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 39 ( 3 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_016_Reflective_Tautologies_II,plain,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).
fof(testcase_conclusion_fullish_016_Reflective_Tautologies_II_negated,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(negate_conjecture,[status(cth)],[testcase_conclusion_fullish_016_Reflective_Tautologies_II]) ).
cnf(28,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(cnf,[status(esa)],[testcase_conclusion_fullish_016_Reflective_Tautologies_II_negated]) ).
cnf(l0,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(instantiation,[status(thm)],[28]) ).
fof(owl_rdfsext_subpropertyof,plain,
! [P1,P2] :
( iext(uri_rdfs_subPropertyOf,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X,Y] :
( iext(P1,X,Y)
=> iext(P2,X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
cnf(18,plain,
( ~ ip(X0)
| ~ ip(X1)
| iext(X0,sK2(X0,X1),sK3(X0,X1))
| iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf,[status(esa)],[owl_rdfsext_subpropertyof]) ).
cnf(l1,plain,
( ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(instantiation,[status(thm)],[18]) ).
fof(owl_eqdis_equivalentclass,plain,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( icext(C1,X)
<=> icext(C2,X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
cnf(22,plain,
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,X2)
| icext(X1,X2) ),
inference(cnf,[status(esa)],[owl_eqdis_equivalentclass]) ).
cnf(l3,plain,
( ~ iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| icext(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
inference(instantiation,[status(thm)],[22]) ).
fof(rdf_type_ip,plain,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).
cnf(0,plain,
( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ip(X0) ),
inference(cnf,[status(esa)],[rdf_type_ip]) ).
cnf(l4,plain,
( ~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property)
| ip(uri_rdfs_subClassOf) ),
inference(instantiation,[status(thm)],[0]) ).
fof(owl_prop_equivalentclass_type,plain,
ip(uri_owl_equivalentClass),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
cnf(7,plain,
ip(uri_owl_equivalentClass),
inference(cnf,[status(esa)],[owl_prop_equivalentclass_type]) ).
cnf(l2,plain,
ip(uri_owl_equivalentClass),
inference(instantiation,[status(thm)],[7]) ).
fof(owl_rdfsext_subclassof,plain,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X] :
( icext(C1,X)
=> icext(C2,X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
cnf(14,plain,
( ~ icext(X0,sK1(X1,X0))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X1,X0) ),
inference(cnf,[status(esa)],[owl_rdfsext_subclassof]) ).
cnf(l7,plain,
( ~ icext(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subClassOf,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(21,plain,
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ic(X1) ),
inference(cnf,[status(esa)],[owl_eqdis_equivalentclass]) ).
cnf(l765,plain,
( ~ iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(rdfs_cext_def,plain,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
cnf(3,plain,
( ~ icext(X0,X1)
| iext(uri_rdf_type,X1,X0) ),
inference(cnf,[status(esa)],[rdfs_cext_def]) ).
cnf(l6,plain,
( ~ icext(uri_rdf_Property,uri_rdfs_subClassOf)
| iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(13,plain,
( ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1)
| icext(X0,sK1(X0,X1)) ),
inference(cnf,[status(esa)],[owl_rdfsext_subclassof]) ).
cnf(l5,plain,
( ~ ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subClassOf,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(20,plain,
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ic(X0) ),
inference(cnf,[status(esa)],[owl_eqdis_equivalentclass]) ).
cnf(l10,plain,
( ~ iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(instantiation,[status(thm)],[20]) ).
fof(rdfs_domain_main,plain,
! [P,C,X,Y] :
( ( iext(uri_rdfs_domain,P,C)
& iext(P,X,Y) )
=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
cnf(4,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_rdfs_domain,X0,X3)
| icext(X3,X1) ),
inference(cnf,[status(esa)],[rdfs_domain_main]) ).
cnf(l15,plain,
( ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class)
| ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
| icext(uri_rdf_Property,uri_rdfs_subClassOf) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l8,plain,
( ~ iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(instantiation,[status(thm)],[21]) ).
fof(rdfs_domain_domain,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).
cnf(5,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnf,[status(esa)],[rdfs_domain_domain]) ).
cnf(l44,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(instantiation,[status(thm)],[5]) ).
fof(rdfs_subclassof_domain,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
cnf(6,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(cnf,[status(esa)],[rdfs_subclassof_domain]) ).
cnf(l32,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(instantiation,[status(thm)],[6]) ).
cnf(l12,plain,
( ~ iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(19,plain,
( ~ iext(X0,sK2(X1,X0),sK3(X1,X0))
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,X1,X0) ),
inference(cnf,[status(esa)],[owl_rdfsext_subpropertyof]) ).
cnf(l3132,plain,
( ~ iext(uri_rdfs_subClassOf,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l3133,plain,
ip(uri_owl_equivalentClass),
inference(instantiation,[status(thm)],[7]) ).
cnf(l4897,plain,
( ~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property)
| ip(uri_rdfs_subClassOf) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l690,plain,
( ~ iext(uri_rdfs_subClassOf,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l700,plain,
ip(uri_owl_equivalentClass),
inference(instantiation,[status(thm)],[7]) ).
cnf(l4910,plain,
( ~ icext(uri_rdf_Property,uri_rdfs_subClassOf)
| iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l4913,plain,
( ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class)
| ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
| icext(uri_rdf_Property,uri_rdfs_subClassOf) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l5027,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(instantiation,[status(thm)],[6]) ).
cnf(l5024,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(instantiation,[status(thm)],[5]) ).
cnf(l693,plain,
( ~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property)
| ip(uri_rdfs_subClassOf) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2979,plain,
( ~ icext(uri_rdf_Property,uri_rdfs_subClassOf)
| iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l2986,plain,
( ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class)
| ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
| icext(uri_rdf_Property,uri_rdfs_subClassOf) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l4486,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(instantiation,[status(thm)],[5]) ).
cnf(l2991,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l2,l7,l765,l6,l5,l10,l15,l8,l44,l32,l12,l3132,l3133,l4897,l690,l700,l4910,l4913,l5027,l5024,l693,l2979,l2986,l4486,l2991]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWB016+2 : TPTP v9.0.0. Released v5.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 04:04:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.12/0.37 % launching worker at depth: 12
% 0.19/0.51 % launching worker at depth: 13
% 6.07/1.17 % launching worker at depth: 14
% 30.22/4.14 % launching worker at depth: 15
% 202.31/25.69 % SZS status Theorem for theBenchmark
% 202.31/25.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------